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An interactive MCDM weight space reduction method utilizing a Tchebycheff utility function. (English) Zbl 0699.90088

The authors propose to utilize a Tchebycheff function to approximate a single coordinatewise increasing utility function. Then the authors develop an interactive method to solve multiple-objective linear programming problems involving a single decision maker and utilize selected and consistent weights in an augmented Tchebycheff linear programming formulation to obtain nondominated alternatives. An algorithm and a brief numerical example are presented and the properties in weight space are provided.
Reviewer: G.Chen

MSC:

90C31 Sensitivity, stability, parametric optimization
90C05 Linear programming
90B50 Management decision making, including multiple objectives
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